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Finding the Fourth Proportional to 40.30, 60.54 and 30.20

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Solution

The fourth proportional to 40.30, 60.54 and 30.20 is: 45.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.30 : 60.54 = 30.20 : x
  2. Step 2: Convert to fraction form
    40.30/60.54 = 30.20/x
  3. Step 3: Cross multiply
    40.30x = 60.54 × 30.20
  4. Step 4: Simplify right side
    40.30x = 1,828.31
  5. Step 5: Solve for x
    x = 1,828.31/40.30
  6. Step 6: Final answer
    x = 45.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.